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Published on: 29/08/2019
Three Dimensional Geometry
Download CBSE Class 12th Standard CBSE Maths question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 12th Standard CBSE Maths
Questions + Answers key
Take MCQ Maths Test
1.
What are the direction cosines of a line, which makes equal angles with the coordinate axes?
2.
Write the Cartesian equation of the following line given in vector form: \(\overrightarrow { r } =2\hat { i } +\hat { j } +4\hat { k } +\lambda (\hat { i } +\hat { j } -\hat { k } )\)
3.
The Cartesian equation of a line AB is \(\frac { 2x-1 }{ \sqrt { 3 } } =\frac { y+2 }{ 2 } \frac { z-3 }{ 3 } \). Find the direction cosines of a line parallel to AB.
1.
\( \alpha=\beta=\gamma
\)
\(\Rightarrow 3 \cos ^2 \alpha=1
\)
\(D C^{\prime} s: \pm \frac{1}{\sqrt{3}} \pm \frac{1}{\sqrt{3}} \pm \frac{1}{\sqrt{3}}\)
2.
Point through which line passes is (2, 1, - 4) and dr's: 1, 1,-1.
\(\therefore\) Cartesian equation of line is \(\frac{z-2}{1}=\frac{y-1}{-1}=\frac{z+4}{-1}\)
3.
AB
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